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Popular >

derivative of sec(sqrt(x))

Solution

\frac{d}{d x} (sec (x))

Solution

\frac{sec ( x ) tan ( x )}{2 x}

Solution steps

\frac{d}{d x} (sec (x))

Apply the chain rule:

sec (x) tan (x) \frac{d}{d x} (x)

= sec (x) tan (x) \frac{d}{d x} (x)

\frac{d}{d x} (x) = \frac{1}{2 x}

= sec (x) tan (x) \frac{1}{2 x}

Simplify

sec (x) tan (x) \frac{1}{2 x} : \frac{sec ( x ) tan ( x )}{2 x}

= \frac{sec ( x ) tan ( x )}{2 x}

Popular Examples

integral from 1 to 2 of 11e^{1/x}

\int_{1}^{2} 11 e^{\frac{1}{x}} d x

derivative of log_{4}(e^{-x}cos(pix))derivative of

lo g_{4} (e^{- x} cos (π x))

integral of 4cos(θ)sin(θ)

\int 4 cos (θ) sin (θ) d θ

limit as x approaches 0+of (e^x-1)/x

x \to 0 + lim (\frac{e ^{x} - 1}{x})

inverse oflaplace 1/((s+1)^{1/2)}inverse laplace

\frac{1}{( s + 1 ) ^{\frac{1}{2}}}

Frequently Asked Questions (FAQ)

What is the derivative of sec(sqrt(x)) ?
The derivative of sec(sqrt(x)) is (sec(sqrt(x))tan(sqrt(x)))/(2sqrt(x))
What is the first derivative of sec(sqrt(x)) ?
The first derivative of sec(sqrt(x)) is (sec(sqrt(x))tan(sqrt(x)))/(2sqrt(x))